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Robust Variable Step-Size Affine Projection Sign Algorithm Against Impulsive Noises

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Abstract

The present study introduces a robust variable step-size affine projection sign adaptive algorithm (RVSS-APSA) in impulsive noise environments. In the proposed RVSS-APA, the weight coefficients are updated based on the minimization of \(\ell _2\)-norm of the a posteriori error and the step size changes according to the minimization of \(\ell _1\)-norm of the a posteriori error. This algorithm reduces the steady-state misalignment and increases the convergence rate for colored input signal as well as with or without impulsive noise interference. Also, a new simple reset algorithm is proposed to improve the tracking ability of the introduced algorithm. The simulation results demonstrate a good performance for the proposed algorithm in different situations.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, P.O.Box:16785-163, Tehran, Iran

    Mohammad Shams Esfand Abadi

  2. Department of Applied Mathematics, Shahid Rajaee Teacher Training University, P.O.Box:16785-163, Tehran, Iran

    Hamid Mesgarani & Seyed Mahmoud Khademiyan

Authors
  1. Mohammad Shams Esfand Abadi
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  2. Hamid Mesgarani
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  3. Seyed Mahmoud Khademiyan
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Correspondence to Mohammad Shams Esfand Abadi.

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Shams Esfand Abadi, M., Mesgarani, H. & Khademiyan, S.M. Robust Variable Step-Size Affine Projection Sign Algorithm Against Impulsive Noises. Circuits Syst Signal Process 39, 1471–1488 (2020). https://doi.org/10.1007/s00034-019-01209-8

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  • DOI: https://doi.org/10.1007/s00034-019-01209-8

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